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Fifty Challenging Problems in Probability with Solutions

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Fifty Challenging Problems in Probability with Solutions Cover

 

Synopses & Reviews

Publisher Comments:

Can you solve the problem of "The Unfair Subway"?
Marvin gets off work at random times between 3 and 5 p.m. His mother lives uptown, his girlfriend downtown. He takes the first subway that comes in either direction and eats dinner with the one he is delivered to. His mother complains that he never comes to see her, but he says she has a 50-50 chance. He has had dinner with her twice in the last 20 working days. Explain.
Marvin's adventures in probability are one of the fifty intriguing puzzles that illustrate both elementary ad advanced aspects of probability, each problem designed to challenge the mathematically inclined. From "The Flippant Juror" and "The Prisoner's Dilemma" to "The Cliffhanger" and "The Clumsy Chemist," they provide an ideal supplement for all who enjoy the stimulating fun of mathematics.
Professor Frederick Mosteller, who teaches statistics at Harvard University, has chosen the problems for originality, general interest, or because they demonstrate valuable techniques. In addition, the problems are graded as to difficulty and many have considerable stature. Indeed, one has "enlivened the research lives of many excellent mathematicians." Detailed solutions are included. There is every probability you'll need at least a few of them.

Synopsis:

Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

Synopsis:

Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. Detailed solutions.

Synopsis:

Remarkable selection of puzzlers, graded in difficulty, that illustrate both elementary and advanced aspects of probability. Selected for originality, general interest or because they demonstrate valuable techniques, the problems are ideal as a supplement to courses in probability or statistics, or

Synopsis:

Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

About the Author

Charles Frederick Mosteller ( 1916-2006) was one of the eminent statisticians of the 20th century. He was the founding chairman of Harvard's Statistics department. Dr. Mosteller wrote more than 50 books and more than 350 papers, with over 200 coauthors.

Frederick Mosteller: Harvard Man

Frederick Mosteller (1916-2006) founded Harvard University's Department of Statistics and served as its first chairman from 1957 until 1969 and again for several years in the 1970s. He was the author or co-author of more than 350 scholarly papers and more than 50 books, including one of the most popular books in his field, first published in 1965 and reprinted by Dover in 1987, Fifty Challenging Problems in Probability with Solutions.

Mosteller's work was wide-ranging: He used statistical analysis of written works to prove that James Madison was the author of several of the Federalist papers whose authorship was in dispute. With then-Harvard professor and later Senator Daniel P. Moynihan, he studied what would be the most effective way of helping students from impoverished families do better in school — their answer: to improve income levels rather than to simply spend on schools. Later, his analysis of the importance to learning of smaller class sizes buttressed the Clinton Administration's initiative to hire 100,000 teachers. And, as far back as the 1940s, Mosteller composed an early statistical analysis of baseball: After his team, the Boston Red Sox, lost the 1946 World Series, he demonstrated that luck plays an enhanced role in a short series, even for a strong team.

In the Author's Own Words:

"Though we often hear that data can speak for themselves, their voices can be soft and sly." — Frederick Mosteller

Table of Contents

1. The sock drawer

2. Successive wins

3. The flippant juror

4. Trials until first success

5. Coin in square

6. Chuck-a-luck

7. Curing the compulsive gambler

8. Perfect bridge hand

9. Craps

10. An experiment in personal taste for money

11. Silent cooperation

12. Quo vadis?

13. The prisoner's dilemma

14. "Collecting coupons, including Euler's approximation for harmonic sums"

15. The theater row

16. Will second-best be runner-up?

17. Twin knights

18. "An even split at coin tossing, including Stirling's approximation"

19. Isaac Newton helps Samuel Pepys

20. The three-cornered duel

21. Should you sample with or without replacement?

22. The ballot box

23. Ties in matching pennies

24. The unfair subway

25. Lengths of random chords

26. The hurried duelers

27. Catching the cautious counterfeiter

28. "Catching the greedy counterfeiter, including the Poisson distribution"

29. Moldy gelation

30. Evening the sales

31. Birthday pairings

32. Finding your birthmate

33. Relating the birthday pairings and birthmate problems

34. Birthday holidays

35. The cliff-hanger

36. Gambler's ruin

37. Bold play vs. cautious play

38. The thick coin Digression: A note on the principle of symmetry when points are dropped on a line

39. The clumsy chemist

40. The first ace

41. The locomotive problem

42. The little end of the stick

43. The broken bar

44. Winning an unfair game

45. Average number of matches

46. Probabilities of matches

47. Choosing the largest dowry

48. Choosing the largest random number

49. Doubling your accuracy

50. Random quadratic equations

51. Two-dimensional random walk

52. Three-dimensional random walk

53. Buffon's needle

54. Buffon's needle with horizontal and vertical rulings

55. Long needles

56. Molina's urns

Product Details

ISBN:
9780486653556
Author:
Mosteller, Frederick
Publisher:
Dover Publications
Author:
Mathematics
Location:
New York :
Subject:
Mathematics
Subject:
Probability
Subject:
Probabilities
Subject:
Problems, exercises, etc.
Subject:
Probabilities -- Problems, exercises, etc.
Subject:
Probability & Statistics - General
Subject:
General Mathematics
Subject:
Mathematics | Probability and Statistics
Subject:
Statistics
Subject:
Probability (Mathematics)
Subject:
Probability Problems
Subject:
recreational mathematics
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
1954
Publication Date:
19870531
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
96
Dimensions:
8.5 x 5.38 in 0.26 lb

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Related Subjects


Science and Mathematics » Astronomy » General
Science and Mathematics » Mathematics » Games and Puzzles
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Probability Theory
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Fifty Challenging Problems in Probability with Solutions Used Trade Paper
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$5.50 In Stock
Product details 96 pages Dover Publications - English 9780486653556 Reviews:
"Synopsis" by ,
Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.
"Synopsis" by , Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. Detailed solutions.

"Synopsis" by , Remarkable selection of puzzlers, graded in difficulty, that illustrate both elementary and advanced aspects of probability. Selected for originality, general interest or because they demonstrate valuable techniques, the problems are ideal as a supplement to courses in probability or statistics, or
"Synopsis" by ,
Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

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